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Vlad [161]
3 years ago
5

If you have a cube with a side length of ¼, how many cubes can fit into your rectangular prism? Explain.

Mathematics
1 answer:
sergey [27]3 years ago
6 0

Answer:

Step-by-step explanation:

No of cubes that can fit into rectangular prism =  <u> Volume of rectangular prism</u>

                                                                                   Volume of cube

Find the volume of rectangular prism and divide that by the volume of cube

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3 years ago
$4000 is invested in a mutual fund that pays annual interest compounded quarterly for 15 years. What annual interest is needed t
Neporo4naja [7]

Answer:

The interest needed to reach that value of $6000 is 2.75%

Step-by-step explanation:

Given as :

The principal that invested in mutual fund = p = $4000

The time period = t = 15 years

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Let The interest needed to reach that value = r%

Now, According to question

<u>From Compound Interest method</u>

Amount = principal × (1+\dfrac{\textrm rate}{100})^{\textrm time}

Or, A = p × (1+\dfrac{\textrm r}{100})^{\textrm t}

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or, \dfrac{6000}{4000} = (1+\dfrac{\textrm r}{100})^{\textrm 15}

Or, \frac{3}{2} = (1+\dfrac{\textrm r}{100})^{\textrm 15}

or, 1.5 = (1+\dfrac{\textrm r}{100})^{\textrm 15}

or, 1.5^{\frac{1}{15}} = (1+\dfrac{\textrm r}{100})

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or, 1.0275 - 1 = \dfrac{r}{100}

or, 0.0275 = \dfrac{r}{100}

∴ r = 0.0275 × 100

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Hence,The interest needed to reach that value of $6000 is 2.75% Answer

3 0
3 years ago
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